Find the area of the shape shown below. i need help nowww!!!

A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre

adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = $\sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15$

Thus, the answer is 15 miles.

Hope this helps!

3 0

2 years ago

Read 2 more answers

Find all solutions for a triangle with a = 14, b= 12, and B = 90°.

ziro4ka [17]

Answer:

No solution.

Step-by-step explanation:

Given

$a = 14; b= 12; B = 90^\circ$

Required

Find all possible solutions

If $B = 90^\circ$ , then the triangle is right-angled and the hypotenuse is at b

Given that $a = 14; b= 12;$

This implies that a > b

In a right-angled triangle, the hypotenuse (side b) is the longest.

Since this is not true for the given sides, then the triangle has no solution.

5 0

3 years ago

In a certain isosceles right triangle, the altitude to the hypotenuse has length

Law Incorporation [45]

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

8 0

3 years ago

Sophia pays $19.99 membership fee for an online music store. If sophia purchases n songs for $0.99 each write the expression for

Alona [7]

Answer:

The expression for the total cost is x = 19.99 + 0.99n .

Step-by-step explanation:

Let us assume that the total cost be x.

As given

Sophia pays $19.99 membership fee for an online music store.

If sophia purchases n songs for $0.99 each .

Than the expression becomes

Total cost = Membership fee + Cost of n songs

x = 19.99 + 0.99n

Here n represented the number of songs.

4 0

3 years ago

It is assumed that the test results for a class follow a normal distribution with a mean of 78 and a standard deviation of 36. I

HACTEHA [7]

Answer:

0.7143

- You know the minimum possible grade of the student

- You want to find out the probability that that grade which is greater than 72 is also greater than 84

- Expect the answer to be 0.7143

- The explanation/steps is given below

- The answer seems (and is) reasonable. You only created a new lower limit.

Step-by-step explanation:

Distribution Type: Normal

Mean: 78

Standard deviation: 36

Range of marks: [78 - 36], [78 + 36] = [42 to 114]

If you know that a student's grade is greater than 72, what is the probability that it's greater than 84?

In this case, the full probability level is between 72 and the upper limit of 114 (instead of between 42 and 114). First, find the fraction of this probability.

[114 - 72] ÷ [114 - 42] = 42/72 = 0.5833

So, the probability of a student's mark falling between 72 and 114 is 0.5833.

Now making this a whole interval, 114 - 72 = 42

What fraction of this interval of 42 will bear marks between 84 and 114?

[114 - 84] = 30

30/42 = 0.7143

Because of the first part of the question "If you know (are sure) that a student's grade is greater than 72...", your answer stops at 0.7143, since 72 was used as the lower limit.

8 0

2 years ago